230946768
230,946,768 is an even composite number composed of six prime numbers multiplied together.
230946768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 230946768:
24 × 33 × 13 × 17 × 41 × 59
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 41 × 59)See below for interesting mathematical facts about the number 230946768 from the Numbermatics database.
Names of 230946768
- Cardinal: 230946768 can be written as Two hundred thirty million, nine hundred forty-six thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 2.30946768 × 108
Factors of 230946768
Divisors of 230946768
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 41 48 51 52 54 59 68 72 78 82 102 104 108 117 118 123 136 144 153 156 164 177 204 208 216 221 234 236 246 272 306 312 328 351 354 369 408 432 442 459 468 472 492 531 533 612 624 656 663 697 702 708 738 767 816 884 918 936 944 984 1003 1062 1066 1107 1224 1326 1394 1404 1416 1476 1534 1593 1599 1768 1836 1872 1968 1989 2006 2091 2124 2132 2214 2301 2419 2448 2652 2788 2808 2832 2952 3009 3068 3186 3198 3536 3672 3978 4012 4182 4248 4264 4428 4602 4797 4838 5304 5576 5616 5904 5967 6018 6136 6273 6372 6396 6903 7257 7344 7956 8024 8364 8496 8528 8856 9027 9061 9204 9594 9676 10608 11152 11934 12036 12272 12546 12744 12792 13039 13806 14391 14514 15912 16048 16728 17712 18054 18122 18408 18819 19188 19352 20709 21771 23868 24072 25092 25488 25584 26078 27081 27183 27612 28782 29028 31447 31824 33456 36108 36244 36816 37638 38376 38704 39117 41123 41418 43542 47736 48144 50184 52156 54162 54366 55224 57564 58056 62894 65313 72216 72488 75276 76752 78234 81549 82246 82836 87084 94341 95472 100368 104312 108324 108732 110448 115128 116112 117351 123369 125788 130626 144432 144976 150552 156468 163098 164492 165672 174168 188682 208624 216648 217464 230256 234702 244647 246738 251576 261252 283023 301104 312936 326196 328984 331344 348336 352053 370107 377364 433296 434928 469404 489294 493476 503152 522504 534599 566046 625872 652392 657968 704106 740214 754728 849069 938808 978588 986952 1045008 1069198 1110321 1132092 1304784 1408212 1480428 1509456 1603797 1698138 1877616 1957176 1973904 2138396 2220642 2264184 2816424 2960856 3207594 3396276 3914352 4276792 4441284 4528368 4811391 5632848 5921712 6415188 6792552 8553584 8882568 9622782 12830376 13585104 14434173 17765136 19245564 25660752 28868346 38491128 57736692 76982256 115473384 230946768
- Sum of all divisors σ(n): 787449600
- Sum of proper divisors (its aliquot sum) s(n): 556502832
- 230946768 is an abundant number, because the sum of its proper divisors (556502832) is greater than itself. Its abundance is 325556064
Bases of 230946768
- Binary: 11011100001111110111110100002
- Hexadecimal: 0xDC3F7D0
- Base-36: 3THZO0
Squares and roots of 230946768
- 230946768 squared (2309467682) is 53336409649645824
- 230946768 cubed (2309467683) is 12317871425309715397496832
-
The
square root of 230946768 is 15196.9328484401 -
The
cube root of 230946768 is 613.5321089597
Scales and comparisons
How big is 230946768?- 230,946,768 seconds is equal to 7 years, 17 weeks, 5 days, 23 hours, 52 minutes, 48 seconds.
-
To count from 1 to 230,946,768 would take you about eleven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 230946768 cubic inches would be around 51.1 feet tall.
Recreational maths with 230946768
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 230946768 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 230946768 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/230946768/
Chicago style:
Numbermatics. 2024. "Number 230946768 - Facts about the integer". https://numbermatics.com/n/230946768/
The information we have on file for 230946768 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 230946768, math, Factors of 230946768, curriculum, school, college, exams, university, Prime factorization of 230946768, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty million, nine hundred forty-six thousand, seven hundred sixty-eight.